Residual stresses commonly arise in metallic components following plastic d
eformation and can have a significant effect on the mechanical properties.
At the scale of the crystals, stresses are directly related to changes in l
attice spacing. Neutron diffraction provides an effective method of measuri
ng the spacing of atomic planes in crystal lattices with sufficient precisi
on to determine the elastic (lattice) strains. In this work, tensile specim
ens were loaded and unloaded in situ to progressively larger amounts of pla
stic strain. Neutron diffraction measurements were taken at various points
in the loading history, and the data were reduced to give the average elast
ic strains in subsets of the crystals characterized by common crystallograp
hic directions.
Using the finite element method, lattice strains were computed at the cryst
al level by modeling a polycrystal grain by grain. Elastic strains were ext
racted for sets of crystals corresponding to those sets examined by diffrac
tion at comparable points in the loading history. Detailed comparisons for
a steel (HY100) indicate that the model shows good agreement in predicting
the lattice strains, both in the loaded and unloaded states. Further, the s
imulations elucidate aspects of the distributions of lattice strains that a
rise from the grain-to-grain interactions.